Introduction to Centroids
Explore the concept of centroids in triangles and learn how to locate them using medians.
Includes
Standards
Topics
Introduction to Centroids
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
The centroid of a triangle is an important point of concurrency. It is the point where the three medians of the triangle intersect. A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.
1. What is the name of the point where the three medians of a triangle intersect?
Incenter
Circumcenter
Centroid
Orthocenter
2. A median connects a vertex of a triangle to the of the opposite side.
Endpoint
Midpoint
Angle bisector
Perpendicular
3. The centroid divides each median into two segments in a ratio.
4. If G is the centroid of triangle ABC, and AD is a median, then AG is of AD.
5. Draw a triangle ABC. Construct all three medians and label the centroid G.
6. The centroid is always located inside the triangle.
True
False
Related Worksheets
Arcs and Sectors Geometry Worksheet
A Grade 9 math worksheet focusing on calculating arc length, sector area, and related properties of circles.
Area of an Annulus Worksheet
Calculate the area of an annulus using given radii for Grade 9 geometry students.
Lateral Area Practice Worksheet
A Grade 9 math worksheet focusing on calculating the lateral surface area of various 3D geometric shapes including prisms, cylinders, pyramids, and cones.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Segment Length Practice
Practice worksheet for calculating segment lengths on number lines and coordinate planes, including midpoints and distances.
Exterior Angle of a Triangle Worksheet
Explore the properties of exterior angles of triangles with this Grade 9 math worksheet, featuring various problem types.
Grade 9 Math: Coordinate Proofs
This worksheet focuses on coordinate proofs, including proving geometric properties on a coordinate plane, calculating distances, midpoints, and slopes.